Solve (6.6710^-11)200*500/25^2

$$\frac{ (6.67 { 10 }^{ -11 } )200 \cdot 500 }{ { 25 }^{ 2 } }$$

Evaluate

$$0.000000010672$$

Solution Steps

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{6.67\times \frac{1}{100000000000}\times 200\times 500}{25^{2}}$$

Multiply 6.67 and \frac{1}{100000000000} to get \frac{667}{10000000000000}.

$$\frac{\frac{667}{10000000000000}\times 200\times 500}{25^{2}}$$

Multiply \frac{667}{10000000000000} and 200 to get \frac{667}{50000000000}.

$$\frac{\frac{667}{50000000000}\times 500}{25^{2}}$$

Multiply \frac{667}{50000000000} and 500 to get \frac{667}{100000000}.

$$\frac{\frac{667}{100000000}}{25^{2}}$$

Calculate 25 to the power of 2 and get 625.

$$\frac{\frac{667}{100000000}}{625}$$

Express \frac{\frac{667}{100000000}}{625} as a single fraction.

$$\frac{667}{100000000\times 625}$$

Multiply 100000000 and 625 to get 62500000000.

$$\frac{667}{62500000000}$$

Factor

$$\frac{23 \cdot 29}{2 ^ {8} \cdot 5 ^ {12}} = 1.0672 \times 10^{-8}$$